A general multivariate threshold GARCH model with dynamic conditional correlations
We propose a new multivariate GARCH model with Dynamic Conditional Correlations that extends previous models by admitting multivariate thresholds in conditional volatilities and correlations. The model estimation is feasible in large dimensions and the positive deniteness of the conditional covariance matrix is easily ensured by the structure of the model. Thresholds in conditional volatilities and correlations are estimated from the data, together with all other model parameters. We study the performance of our model in three distinct applications to US stock and bond market data. Even if the conditional volatility functions of stock returns exhibit pronounced GARCH and threshold features, their conditional correlation dynamics depends on a very simple threshold structure with no local GARCH features. We obtain a similar result for the conditional correlations between government and corporate bond returns. On the contrary, we ¯nd both threshold and GARCH structures in the conditional correlations between stock and government bond returns. In all applications, our model improves signi¯cantly the in-sample and out-of-sample forecasting power for future conditional correlations with respect to other relevant multivariate GARCH models.
|Date of creation:||Apr 2007|
|Contact details of provider:|| Postal: Dufourstrasse 50, CH - 9000 St.Gallen|
Phone: +41 71 224 23 25
Fax: +41 71 224 31 35
Web page: http://www.seps.unisg.ch/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001.
"Modeling and Forecasting Realized Volatility,"
NBER Working Papers
8160, National Bureau of Economic Research, Inc.
- Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2001. "Modeling and Forecasting Realized Volatility," Center for Financial Institutions Working Papers 01-01, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Anderson, Torben G. & Bollerslev, Tim & Diebold, Francis X. & Labys, Paul, 2002. "Modeling and Forecasting Realized Volatility," Working Papers 02-12, Duke University, Department of Economics.
- Hamao, Yasushi & Masulis, Ronald W & Ng, Victor, 1990. "Correlations in Price Changes and Volatility across International Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 3(2), pages 281-307.
- Kim, Sang W. & Rogers, John H., 1995.
"International stock price spillovers and market liberalization: Evidence from Korea, Japan, and the United States,"
Journal of Empirical Finance,
Elsevier, vol. 2(2), pages 117-133, June.
- Sang W. Kim & John H. Rogers, 1995. "International stock price spillovers and market liberalization: evidence from Korea, Japan, and the United States," International Finance Discussion Papers 499, Board of Governors of the Federal Reserve System (U.S.).
- Kim, S.W. & Rogers, J.H., 1993. "International Stock Price Spillovers and Market Liberalization: Evidence from Korea, Japan, and the United States," Papers 4-93-7, Pennsylvania State - Department of Economics.
- Koutmos, Gregory & Booth, G Geoffrey, 1995. "Asymmetric volatility transmission in international stock markets," Journal of International Money and Finance, Elsevier, vol. 14(6), pages 747-762, December.
- Ledoit, Olivier & Santa-Clara, Pedro & Wolf, Michael, 1999.
"Flexible Multivariate GARCH Modeling With an Application to International Stock Markets,"
University of California at Los Angeles, Anderson Graduate School of Management
qt93s6p8gb, Anderson Graduate School of Management, UCLA.
- Olivier Ledoit & Pedro Santa-Clara & Michael Wolf, 2003. "Flexible Multivariate GARCH Modeling with an Application to International Stock Markets," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 735-747, August.
- Olivier Ledoit & Pedro Santa Clara & Michael Wolf, 2001. "Flexible multivariate GARCH modeling with an application to international stock markets," Economics Working Papers 578, Department of Economics and Business, Universitat Pompeu Fabra.
- Ole E. Barndorff-Nielsen & Neil Shephard, 2000.
"Econometric analysis of realised volatility and its use in estimating stochastic volatility models,"
2001-W4, Economics Group, Nuffield College, University of Oxford, revised 05 Jul 2001.
- Ole E. Barndorff-Nielsen & Shephard, 2002. "Econometric analysis of realized volatility and its use in estimating stochastic volatility models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 253-280.
- Mervyn A. King & Sushil Wadhwani, 1989.
"Transmission of Volatility Between Stock Markets,"
NBER Working Papers
2910, National Bureau of Economic Research, Inc.
- Fabio Trojani & Francesco Audrino, 2006. "Estimating and predicting multivariate volatility thresholds in global stock markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(3), pages 345-369.
- Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
- Bae, Kee-Hong & Andrew Karolyi, G., 1995.
"Good news, band news and international spilovers of stock return volatility between Japan and the U.S,"
Pacific-Basin Finance Journal,
Elsevier, vol. 3(1), pages 144-144, May.
- Bae, Kee-Hong & Andrew Karolyi, G., 1994. "Good news, bad news and international spillovers of stock return volatility between Japan and the U.S," Pacific-Basin Finance Journal, Elsevier, vol. 2(4), pages 405-438, December.
- Becker, Kent G. & Finnerty, Joseph E. & Friedman, Joseph, 1995. "Economic news and equity market linkages between the U.S. and U.K," Journal of Banking & Finance, Elsevier, vol. 19(7), pages 1191-1210, October.
- Adrian Pagan, 1986.
"Two Stage and Related Estimators and Their Applications,"
Review of Economic Studies,
Oxford University Press, vol. 53(4), pages 517-538.
- Adrian Pagan, 1985. "Two Stage and Related Estimators and Their Applications," Cowles Foundation Discussion Papers 741, Cowles Foundation for Research in Economics, Yale University.
- Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier.
- Fulvio Corsi & Francesco Audrino, 2007. "Realized Correlation Tick-by-Tick," University of St. Gallen Department of Economics working paper series 2007 2007-02, Department of Economics, University of St. Gallen.
- Engle, Robert F & Ito, Takatoshi & Lin, Wen-Ling, 1990.
"Meteor Showers or Heat Waves? Heteroskedastic Intra-daily Volatility in the Foreign Exchange Market,"
Econometric Society, vol. 58(3), pages 525-542, May.
- Robert F. Engle & Takatoshi Ito & Wen-Ling Lin, 1988. "Meteor Showers or Heat Waves? Heteroskedastic Intra-Daily Volatility in the Foreign Exchange Market," NBER Working Papers 2609, National Bureau of Economic Research, Inc.
- Andersen T. G & Bollerslev T. & Diebold F. X & Labys P., 2001. "The Distribution of Realized Exchange Rate Volatility," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 42-55, March.
- Robert F. Engle & Kevin Sheppard, 2001.
"Theoretical and Empirical properties of Dynamic Conditional Correlation Multivariate GARCH,"
NBER Working Papers
8554, National Bureau of Economic Research, Inc.
- Engle, Robert F & Sheppard, Kevin K, 2001. "Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH," University of California at San Diego, Economics Working Paper Series qt5s2218dp, Department of Economics, UC San Diego.
- Audrino, Francesco, 2006. "Tree-Structured Multiple Regimes in Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 338-353, July.
When requesting a correction, please mention this item's handle: RePEc:usg:dp2007:2007-25. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joerg Baumberger)
If references are entirely missing, you can add them using this form.